kcampos567817 kcampos567817
  • 02-12-2019
  • Mathematics
contestada

Write a quadratic function to model the graph to the right

Write a quadratic function to model the graph to the right class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-12-2019

Answer:

y = x² + 2x + 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 1, 4), thus

y = a(x + 1)² + 4

To find a substitute (0, 5) a point on the graph into the equation

5 = a(0 + 1)² + 4

5 = a + 4 ( subtract 4 from both sides )

a = 1, thus

y = (x + 1)² + 4 ← expand and simplify

  = x² + 2x + 1 + 4

  = x² + 2x + 5

Answer Link

Otras preguntas

Why would the patients joke that the nurses brought babies in their saddlebags
Graph the function f(x) = (x + 1)(x – 5). Use the drop-down menus to complete the steps needed to graph the function
Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he ta
Lyn went from $25 to $28.What is the percent change?
The engine will run at 36,000 J in 2 minutes. What is the engine power?
Rewrite each fraction with a denominator of 24. 2/3 =
Plz help ASAP thank you
Which U.S. Supreme Court case ruled against segregation in public schools?
using the numbers 1, 2, 3, 4 to fill in the blank to make the equation true = 10
Draw a visual model to represent this problem: 6x2/3. Solve.